ECE330 Linear Systems Analysis Fall 2001 Professor Akbar Sayeed Teaching Assistant Chris Swickhamer 3617 Engineering Hall 265-4731 akbar@engr.wisc.edu cmswickh@students.wisc.edu Office Hours: 1:00-2:30TR, or by appointment Discussion section: 4-5:30pm Wednesdays in 2345 Engr. Hall Text: S. Haykin and B. Van Veen, Signals and Systems, Wiley 1999. Grading: Homework 10% assigned approximately weekly Exam 1 25% 5:30pm Wednesday, October 24, 2001 Exam 2 25% 5:30pm Monday, December 3, 2001 Final Exam 40% 7:25pm Wednesday, December 19, 2001 The two lowest homework scores will be dropped when determining your final grade. Late homework will not be accepted for any reason. Participation will include attendance and working as part of a team on problems given in class. Outline 1. Introduction (Sections 1.1-1.8) Continuous and discrete-time signals Operations on signals Properties of signals Elementary signals Continuous- and discrete-time systems Interconnections of systems System Properties 2. Time Domain Representations for Linear Time Invariant Systems (Sections 2.1-2.4) Convolution Properties of convolution Difference and differential equations - characterizing solutions 3. Fourier Representations of Signals (Sections 3.1-3.6) Discrete time periodic signals - the discrete time Fourier series Continuous time periodic signals - the Fourier series Discrete time nonperiodic signals - the discrete time Fourier transform Continuous time nonperiodic signals - the Fourier transform Properties of Fourier representations 4. Applications of Fourier Representations (Sections 4.1-4.7) Frequency response from time-domain system descriptions Fourier transform representations for periodic signals Convolution and modulation revisited - mixing periodic and nonperiodic signals The Fourier transform representation for discrete-time signals Sampling continuous-time signals Reconstruction of continuous-time signals from samples 5. The Laplace transform (Sections 6.1-6.5) Definition Convergence Properties Inversion Solving Differential Equations Transform Analysis of Systems